We're dividing 7553125 by 582 
Let's see how many times 582 fits into 7553125.

Going ahead to step 1:
582 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 582

Advancing to step 2:
582 goes into 75 0 times with a remainder of 75.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 75, we end up with 75.
Append the next digit (5) from the dividend to 75 and continue with: 755 / 582

On to step 3:
The number 582 fits into 755 1 times, leaving a remainder of 173.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 582 from 755 leaves us with 173.
Grab the next digit (3) from the dividend, add it to 173, then carry on: 1733 / 582

Moving on to step 4:
1733 divided by 582 is 2 with a remainder of 569.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Subtracting 1164 from 1733 leaves us with 569.
Grab the next digit (1) from the dividend, add it to 569, then carry on: 5691 / 582

Advancing to step 5:
582 goes into 5691 9 times with a remainder of 453.
Write down 9 as next digit of the result. 
Result so far: 129.0
If we take 5238 away from 5691, we end up with 453.
Take the next digit (2) from the dividend and append it to 453, then repeat: 4532 / 582

Moving on to step 6:
4532 divided by 582 is 7 with a remainder of 458.
The next digit of our result is 7. 
Result so far: 1297.0
The remainder is 458 after subtracting 4074 from 4532.
Grab the next digit (5) from the dividend, add it to 458, then carry on: 4585 / 582

Step 7:
582 goes into 4585 7 times with a remainder of 511.
Put 7 as the next digit of the answer. 
Result so far: 12977.0
Subtracting 4074 from 4585 leaves us with 511.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5110, and continue the process.

On to step 8:
5110 divided by 582 is 8 with a remainder of 454.
Put 8 as the next digit of the answer. 
Result so far: 12977.8
If we take 4656 away from 5110, we end up with 454.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4540, and continue the process.

Let's proceed to step 9:
When dividing 4540 by 582, we get 7 with a remainder of 466.
Record the quotient 7 as the next digit in the result. 
Result so far: 12977.87
Subtract 4074 from 4540 to get 466.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4660, and continue the process.

Advancing to step 10:
When dividing 4660 by 582, we get 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 12977.878
Deduct 4656 from 4660 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 11:
582 can be fit into 40 0 times, resulting in a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 12977.878
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 12:
The number 582 fits into 400 0 times, leaving a remainder of 400.
Record the quotient 0 as the next digit in the result. 
Result so far: 12977.878
Deduct 0 from 400 and we're left with 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

After the division, we end up with 12977.878 and a remainder of 0.0004.